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3 years ago

What is the general form of the equation for the given circle centered at O(0, 0)?

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

hello :
an equation of the circle Center at the O(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a =0 and b = 0 (Center at the origin)
r = AO
r² = (AO)²
r² = (4-0)² +(5-0)² = 16+25=41
an equation of the circle that satisfies the stated conditions.
Center at the origin, passing through B(4, 5) is : x² +y² = 41

x² +y² - 41=0

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Read 2 more answers

Write a polynomial function of the least degree that has roots of 3 and (4 + i).

polet [3.4K]

Answer:

x³ - 11x² + 41x - 51

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

The polynomial is:

(x - 3)(x - (4 + i))(x - (4 + i)) =
(x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
(x - 3)(x² - 8x + 16 - (-1)) =
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4 0

3 years ago

Divide £72 into the ratio 4 : 5.

algol13

Answer:

£32 : £40

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£72 ÷ 9 = £8 ← value of 1 part of the ratio, then

4 parts = 4 × £8 = £32

5 parts = 5 × £8 = £40

Then

£72 in the ratio 4 : 5 is £32 : £40

4 0

3 years ago

Y+2=1/3 (x+1) please can you help

miskamm [114]

Equation:

y + 2 = 1/3(x+1)

Assuming you are solving for Y:

y + 2 = 1/3(x) + 1/3(1)

(y + 2) - 2 = (1/3x + 1/3) - 2

y = 1/3x + 1/3 - 2

y = 1/3x - 5/3

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3 years ago

If m = 9 and z = -7 then what is m? x Z2?

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I think it’s 9 x (-7)(2) which equals -126

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